52633084608000 has 3840 divisors, whose sum is σ = 224850248663040. Its totient is φ = 12178833408000.

The previous prime is 52633084607993. The next prime is 52633084608031. The reversal of 52633084608000 is 80648033625.

It is a happy number.

52633084608000 is a `hidden beast` number, since 5 + 2 + 6 + 3 + 30 + 8 + 4 + 608 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 275565887905 + ... + 275565888095.

It is an arithmetic number, because the mean of its divisors is an integer number (58554752256).

Almost surely, 2^{52633084608000} is an apocalyptic number.

52633084608000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52633084608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112425124331520).

52633084608000 is an abundant number, since it is smaller than the sum of its proper divisors (172217164055040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52633084608000 is a wasteful number, since it uses less digits than its factorization.

52633084608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 52633084608000 in words is "fifty-two trillion, six hundred thirty-three billion, eighty-four million, six hundred eight thousand".